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Simplifying (10x + -5) * 1(7x + -5) + 2 = 0 Reorder the terms: (-5 + 10x) * 1(7x + -5) + 2 = 0 Reorder the terms: (-5 + 10x) * 1(-5 + 7x) + 2 = 0 Reorder the terms for easier multiplication: 1(-5 + 10x)(-5 + 7x) + 2 = 0 Multiply (-5 + 10x) * (-5 + 7x) 1(-5(-5 + 7x) + 10x * (-5 + 7x)) + 2 = 0 1((-5 * -5 + 7x * -5) + 10x * (-5 + 7x)) + 2 = 0 1((25 + -35x) + 10x * (-5 + 7x)) + 2 = 0 1(25 + -35x + (-5 * 10x + 7x * 10x)) + 2 = 0 1(25 + -35x + (-50x + 70x2)) + 2 = 0 Combine like terms: -35x + -50x = -85x 1(25 + -85x + 70x2) + 2 = 0 (25 * 1 + -85x * 1 + 70x2 * 1) + 2 = 0 (25 + -85x + 70x2) + 2 = 0 Reorder the terms: 25 + 2 + -85x + 70x2 = 0 Combine like terms: 25 + 2 = 27 27 + -85x + 70x2 = 0 Solving 27 + -85x + 70x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 70 the coefficient of the squared term: Divide each side by '70'. 0.3857142857 + -1.214285714x + x2 = 0.0 Move the constant term to the right: Add '-0.3857142857' to each side of the equation. 0.3857142857 + -1.214285714x + -0.3857142857 + x2 = 0.0 + -0.3857142857 Reorder the terms: 0.3857142857 + -0.3857142857 + -1.214285714x + x2 = 0.0 + -0.3857142857 Combine like terms: 0.3857142857 + -0.3857142857 = 0.0000000000 0.0000000000 + -1.214285714x + x2 = 0.0 + -0.3857142857 -1.214285714x + x2 = 0.0 + -0.3857142857 Combine like terms: 0.0 + -0.3857142857 = -0.3857142857 -1.214285714x + x2 = -0.3857142857 The x term is -1.214285714x. Take half its coefficient (-0.607142857). Square it (0.3686224488) and add it to both sides. Add '0.3686224488' to each side of the equation. -1.214285714x + 0.3686224488 + x2 = -0.3857142857 + 0.3686224488 Reorder the terms: 0.3686224488 + -1.214285714x + x2 = -0.3857142857 + 0.3686224488 Combine like terms: -0.3857142857 + 0.3686224488 = -0.0170918369 0.3686224488 + -1.214285714x + x2 = -0.0170918369 Factor a perfect square on the left side: (x + -0.607142857)(x + -0.607142857) = -0.0170918369 Can't calculate square root of the right side. The solution to this equation could not be determined.
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